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arXiv · 2504.04125

Orbits of spherical representations and Pyasetskii duality

Daniil Shunin
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Abstract

Dual representations $V$ and $V^*$ of a complex connected algebraic group $G$ simultaneously have either infinitely or finitely many orbits. Whenever the latter holds, the orbits in $V$ and $V^*$ are in a bijective correspondence called Pyasetskii duality. We obtain a complete description of this duality in the case of spherical representations.

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Daniil Shunin. 2025-04-05. Orbits of spherical representations and Pyasetskii duality. https://arxiv.org/abs/2504.04125

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